Homological Bounds of Gentle algebras
Representation Theory
2025-08-28 v1 Rings and Algebras
Abstract
This paper studies the homological bounds of gentle algebras, i.e., the upper bounds for the sum of the projective and injective dimensions of indecomposable modules over gentle algebras. We provide conditions under which this sum is strictly less than twice the global dimension, and as an application, we give a characterization of quasi-tilted gentle algebras.
Keywords
Cite
@article{arxiv.2508.19763,
title = {Homological Bounds of Gentle algebras},
author = {Yu-Zhe Liu and Xin Ma and Jiacheng Xu and Chao Zhang},
journal= {arXiv preprint arXiv:2508.19763},
year = {2025}
}
Comments
26 pages, 2 figures